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logarithm
logarithm Math. (ˈlɒgərɪθ(ə)m, -ɪð-) Also 7 erron. logorythm. [ad. mod.L. logarithm-us (Napier, 1614), f. Gr. λόγ-ος word, proportion, ratio + ἀριθµός number. Napier does not explain his view of the literal meaning of logarithmus. It is commonly taken to mean ‘ratio-number’, and as thus interpreted ...
Oxford English Dictionary
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Logarithm - Wikipedia
In mathematics, the logarithm is the inverse function to exponentiation.That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x.For example, since 1000 = 10 3, the logarithm base 10 of 1000 is 3, or log 10 (1000) = 3.The logarithm of x to base b is denoted as log b (x), or without parentheses, log b x, or even without the explicit base ...
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ln - Natural logarithm calculator
Natural logarithm calculator. Calculate ln(x).
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logarithm
logarithm/ˈlɔgərɪðəm; ?@ ˈlɔ:g-; `lɔɡəˌrɪðəm/ n(mathematics 数) any of a series of numbers set out in tables which make it possible to work out problems in multiplication and division by adding and subtracting 对数. =>App 4 见附录4.
牛津英汉双解词典
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Napierian logarithm
The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm. :
The Napierian logarithm satisfies identities quite similar to the modern logarithm, such as
or
In Napier's 1614 Mirifici Logarithmorum Canonis
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Log rules | logarithm rules - RapidTables.com
log b (x / y) = log b (x) - log b (y) For example: log 10 (3 / 7) = log 10 (3) - log 10 (7) Logarithm power rule. The logarithm of x raised to the power of y is y times the logarithm of x. log b (x y) = y ∙ log b (x) For example: log 10 (2 8) = 8∙ log 10 (2) Logarithm base switch rule. The base b logarithm of c is 1 divided by the base c ...
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Logarithm of a matrix
Not all matrices have a logarithm and those matrices that do have a logarithm may have more than one logarithm. So this last matrix has logarithm
.
These matrices, however, do not have a logarithm:
.
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Binary logarithm
That is, for any real number ,
For example, the binary logarithm of is , the binary logarithm of is , the binary logarithm of is , and the binary logarithm The binary logarithm is the logarithm to the base and is the inverse function of the power of two function.
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Gaussian logarithm
See also
Softplus operation in neural networks
Zech's logarithm
Logarithm table
Logarithmic number system (LNS)
References
Further reading
(NB
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Stochastic logarithm
In stochastic calculus, stochastic logarithm of a semimartingale such that and is the semimartingale given byIn layperson's terms, stochastic logarithm The terminology stochastic logarithm arises from the similarity of to the natural logarithm : If is absolutely continuous with respect to time and ,
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(comp) characteristic of a logarithm | EUdict | English>Japanese (Kanji)
Translation for: '(comp) characteristic of a logarithm' in English->Japanese (Kanji) dictionary. Search over 14 million words and phrases in more than 510 language pairs.
eudict.com
Integral logarithm
The term integral logarithm may stand for:
Discrete logarithm in algebra,
Logarithmic integral function in calculus.
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Gateway Ref1 CN | PDF | Logarithm | Cmos - Scribd
nor41 标准单元 4 输入或非门 X npn 基元 npn 双极结晶体管 Q npn_b 基元 npn 双极结晶体管 ( 指定的衬底节点 ) Q
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Complex logarithm
In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. Such complex logarithm functions are analogous to the real logarithm function , which is the inverse of the real exponential function and hence satisfies
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Irish logarithm
Pseudocode
The following is an implementation of Ludgate's Irish logarithm algorithm in the Python programming language:
table1 = [50, 0, 1, 7, 2, 23 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0]
def product(a: int, b: int) -> int:
"""Ludgate's Irish logarithm
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